You asked for infomation related to math or geometry, which I took time away from my family in order to post for you. Now you have changed your mind and are saying
Are you able to find a video that shows the experiments that were done in regards to seeing things that we shouldn't have seen because they dropped below the curvature of the earth, but we can see them.
Many many such experiments have been previously posted on CI.
Indeed, "see too far" is at the core of the FE problem and why many have been ultimately convinced of FE. It's really basic math. Now, the response is typically just to claim (or rather just throw out the word) "refraction", as some kind of
deus ex machina that actually addresses anything. It's only effective if you've already begged the question that the earth is a globe and are grasping for any straw that might salvage the globe in light of these findings. But refraction does not suffice and has been debunked by two-way laser experiments performed by Dr. John D. In addition, for refraction to operate over hundreds of miles without any significant distortion, you'd have to have a constant rate of refraction not only for the entire 200+ miles between the object and the observer, but also for anything behind the object; otherwise even slightly different refraction rates would cause objects to blur over one another and would cause massive distoration, and the odds of a consistent rate of refraction over 200+ miles is next to 0. There's no refutation for this given current science. Now, if someone wanted to claim that the earth's magnetic field or the flow of the ether cause light to bend at a consistent rate around the globe, that might be more plausible, but I know of no such theory. As far as anyone knows, light bends only very slightly due to such forces, we're talking millimeters over the scale of millions of miles. But any such theory would be more plausible than "refraction".